152971 has 12 divisors (see below), whose sum is σ = 192976. Its totient is φ = 118080.

The previous prime is 152959. The next prime is 152981. The reversal of 152971 is 179251.

152971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152971 - 2⁵ = 152939 is a prime.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (152941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3711 + ... + 3751.

2¹⁵²⁹⁷¹ is an apocalyptic number.

152971 is a deficient number, since it is larger than the sum of its proper divisors (40005).

152971 is an equidigital number, since it uses as much as digits as its factorization.

152971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its digits is 630, while the sum is 25.

The square root of 152971 is about 391.1150725809. The cubic root of 152971 is about 53.4814329841.

It can be divided in two parts, 1529 and 71, that added together give a square (1600 = 40²).

The spelling of 152971 in words is "one hundred fifty-two thousand, nine hundred seventy-one".