157607 has 8 divisors (see below), whose sum is σ = 170496. Its totient is φ = 145152.

The previous prime is 157579. The next prime is 157627. The reversal of 157607 is 706751.

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 157607 - 2⁶ = 157543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157627) 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 7 ways as a sum of consecutive naturals, for example, 1178 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (21312).

2¹⁵⁷⁶⁰⁷ is an apocalyptic number.

157607 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

157607 is a deficient number, since it is larger than the sum of its proper divisors (12889).

157607 is a wasteful number, since it uses less digits than its factorization.

157607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 157607 is about 396.9974811003. The cubic root of 157607 is about 54.0163416476.

The spelling of 157607 in words is "one hundred fifty-seven thousand, six hundred seven".