748657 has 16 divisors (see below), whose sum is σ = 972160. Its totient is φ = 559872.

The previous prime is 748639. The next prime is 748669. The reversal of 748657 is 756847.

It is a happy number.

It is a 3-Lehmer number, since φ(748657) divides (748657-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 748657 - 2¹⁵ = 715889 is a prime.

It is a deceptive number, since it divides R₇₄₈₆₅₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1513 + ... + 1945.

It is an arithmetic number, because the mean of its divisors is an integer number (60760).

It is a Poulet number, since it divides 2⁷⁴⁸⁶⁵⁶-1.

2⁷⁴⁸⁶⁵⁷ is an apocalyptic number.

748657 is the 433-rd decagonal number.

It is an amenable number.

748657 is a deficient number, since it is larger than the sum of its proper divisors (223503).

748657 is a wasteful number, since it uses less digits than its factorization.

748657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its digits is 47040, while the sum is 37.

The square root of 748657 is about 865.2496749494. The cubic root of 748657 is about 90.8017662849.

The spelling of 748657 in words is "seven hundred forty-eight thousand, six hundred fifty-seven".