749 has 4 divisors (see below), whose sum is σ = 864. Its totient is φ = 636.

The previous prime is 743. The next prime is 751. The reversal of 749 is 947.

749 = T_{11} + T_{12} + ... +
T_{17}.

749 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a trimorphic number since its cube, 420189749, ends in 749.

It is not a de Polignac number, because 749 - 2^{4} = 733 is a prime.

It is a super-2 number, since 2×749^{2} = 1122002, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

749 is an undulating number in base 12.

It is a Curzon number.

It is a plaindrome in base 8, base 13 and base 15.

It is a nialpdrome in base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 60.

It is an arithmetic number, because the mean of its divisors is an integer number (216).

2^{749} is an apocalyptic number.

It is an amenable number.

749 is a deficient number, since it is larger than the sum of its proper divisors (115).

749 is a wasteful number, since it uses less digits than its factorization.

749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its digits is 252, while the sum is 20.

The square root of 749 is about 27.3678643668. The cubic root of 749 is about 9.0815631224.

Subtracting from 749 its sum of digits (20), we obtain a 6-th power (729 = 3^{6}).

Adding to 749 its product of digits (252), we get a palindrome (1001).

It can be divided in two parts, 74 and 9, that multiplied together give a palindrome (666).

The spelling of 749 in words is "seven hundred forty-nine", and thus it is an aban number.

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