747 has 6 divisors (see below), whose sum is σ = 1092. Its totient is φ = 492.

The previous prime is 743. The next prime is 751.

Subtracting from 747 its sum of digits (18), we obtain a 6-th power (729 = 3^{6}).

It can be divided in two parts, 74 and 7, that added together give a 4-th power (81 = 3^{4}).

747 is nontrivially palindromic in base 10.

747 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (743) and next prime (751).

It is not a de Polignac number, because 747 - 2^{2} = 743 is a prime.

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

747 is an undulating number in base 10.

It is a plaindrome in base 13 and base 15.

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 5 ways as a sum of consecutive naturals, for example, 33 + ... + 50.

It is an arithmetic number, because the mean of its divisors is an integer number (182).

2^{747} is an apocalyptic number.

747 is a deficient number, since it is larger than the sum of its proper divisors (345).

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

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

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 196, while the sum is 18.

The square root of 747 is about 27.3313007374. The cubic root of 747 is about 9.0734726387.

The spelling of 747 in words is "seven hundred forty-seven", and thus it is an aban number and an iban number.

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