157653 has 8 divisors (see below), whose sum is σ = 233600. Its totient is φ = 105084.

The previous prime is 157649. The next prime is 157667. The reversal of 157653 is 356751.

157653 is a `hidden beast` number, since 1 + 5 + 7 + 653 = 666.

It is not a de Polignac number, because 157653 - 2² = 157649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5839 = 157653 / (1 + 5 + 7 + 6 + 5 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157253) 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, 2893 + ... + 2946.

It is an arithmetic number, because the mean of its divisors is an integer number (29200).

2¹⁵⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

157653 is a deficient number, since it is larger than the sum of its proper divisors (75947).

157653 is an equidigital number, since it uses as much as digits as its factorization.

157653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5842 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 157653 is about 397.0554117500. The cubic root of 157653 is about 54.0215963001.

The spelling of 157653 in words is "one hundred fifty-seven thousand, six hundred fifty-three".