157935 has 8 divisors (see below), whose sum is σ = 252720. Its totient is φ = 84224.

The previous prime is 157933. The next prime is 157951. The reversal of 157935 is 539751.

It is a happy number.

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 157935 - 2¹ = 157933 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157931) 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, 5250 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2¹⁵⁷⁹³⁵ is an apocalyptic number.

157935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157935 is a deficient number, since it is larger than the sum of its proper divisors (94785).

157935 is a wasteful number, since it uses less digits than its factorization.

157935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537.

The product of its digits is 4725, while the sum is 30.

The square root of 157935 is about 397.4103672528. The cubic root of 157935 is about 54.0537872847.

It can be divided in two parts, 15 and 7935, that multiplied together give a square (119025 = 345²).

The spelling of 157935 in words is "one hundred fifty-seven thousand, nine hundred thirty-five".