157962 has 16 divisors (see below), whose sum is σ = 361152. Its totient is φ = 45120.

The previous prime is 157951. The next prime is 157991. The reversal of 157962 is 269751.

It is a nialpdrome in base 11.

It is an unprimeable number.

157962 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1839 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (22572).

2¹⁵⁷⁹⁶² is an apocalyptic number.

157962 is an abundant number, since it is smaller than the sum of its proper divisors (203190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157962 is a wasteful number, since it uses less digits than its factorization.

157962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773.

The product of its digits is 3780, while the sum is 30.

The square root of 157962 is about 397.4443357251. Note that the first 3 decimals coincide. The cubic root of 157962 is about 54.0568673896.

The spelling of 157962 in words is "one hundred fifty-seven thousand, nine hundred sixty-two".