152961 has 8 divisors (see below), whose sum is σ = 207264. Its totient is φ = 100320.

The previous prime is 152959. The next prime is 152981. The reversal of 152961 is 169251.

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

It is not a de Polignac number, because 152961 - 2¹ = 152959 is a prime.

It is an Ulam number.

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

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, 180 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (25908).

2¹⁵²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

152961 is a deficient number, since it is larger than the sum of its proper divisors (54303).

152961 is an equidigital number, since it uses as much as digits as its factorization.

152961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831.

The product of its digits is 540, while the sum is 24.

The square root of 152961 is about 391.1022884106. The cubic root of 152961 is about 53.4802675650.

Subtracting 152961 from its reverse (169251), we obtain a triangular number (16290 = T₁₈₀).

The spelling of 152961 in words is "one hundred fifty-two thousand, nine hundred sixty-one".