157953 has 8 divisors (see below), whose sum is σ = 216448. Its totient is φ = 102384.

The previous prime is 157951. The next prime is 157991. The reversal of 157953 is 359751.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 157953 - 2¹ = 157951 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 157953.

It is not an unprimeable number, because it can be changed into a prime (157951) 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, 601 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (27056).

2¹⁵⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

157953 is a deficient number, since it is larger than the sum of its proper divisors (58495).

157953 is a wasteful number, since it uses less digits than its factorization.

157953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463.

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

The square root of 157953 is about 397.4330132236. The cubic root of 157953 is about 54.0558407270.

The spelling of 157953 in words is "one hundred fifty-seven thousand, nine hundred fifty-three".