472657 has 8 divisors (see below), whose sum is σ = 496640. Its totient is φ = 449280.

The previous prime is 472643. The next prime is 472669. The reversal of 472657 is 756274.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 472657 - 2¹¹ = 470609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is the 688-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472687) by changing a digit.

It is a nontrivial repunit in base 687.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2353 + ... + 2545.

It is an arithmetic number, because the mean of its divisors is an integer number (62080).

2⁴⁷²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

472657 is a deficient number, since it is larger than the sum of its proper divisors (23983).

472657 is a wasteful number, since it uses less digits than its factorization.

472657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its digits is 11760, while the sum is 31.

The square root of 472657 is about 687.5005454543. The cubic root of 472657 is about 77.8960372558.

It can be divided in two parts, 47 and 2657, that added together give a square (2704 = 52²).

The spelling of 472657 in words is "four hundred seventy-two thousand, six hundred fifty-seven".