157963 has 8 divisors (see below), whose sum is σ = 176400. Its totient is φ = 140448.

The previous prime is 157951. The next prime is 157991. The reversal of 157963 is 369751.

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 157963 - 2⁵ = 157931 is a prime.

It is a Duffinian number.

157963 is a lucky number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (157933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2¹⁵⁷⁹⁶³ is an apocalyptic number.

157963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

157963 is a deficient number, since it is larger than the sum of its proper divisors (18437).

157963 is a wasteful number, since it uses less digits than its factorization.

157963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461.

The product of its digits is 5670, while the sum is 31.

The square root of 157963 is about 397.4455937610. The cubic root of 157963 is about 54.0569814608.

The spelling of 157963 in words is "one hundred fifty-seven thousand, nine hundred sixty-three".