152361 has 28 divisors (see below), whose sum is σ = 262320. Its totient is φ = 87480.

The previous prime is 152311. The next prime is 152363. The reversal of 152361 is 163251.

152361 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 152361 - 2⁶ = 152297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (152363) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8010 + ... + 8028.

2¹⁵²³⁶¹ is an apocalyptic number.

152361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152361 is the 209-th nonagonal number.

It is an amenable number.

152361 is a deficient number, since it is larger than the sum of its proper divisors (109959).

152361 is an equidigital number, since it uses as much as digits as its factorization.

152361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 152361 is about 390.3344719596. The cubic root of 152361 is about 53.4102492636.

It can be divided in two parts, 152 and 361, that multiplied together give a cube (54872 = 38³).

The spelling of 152361 in words is "one hundred fifty-two thousand, three hundred sixty-one".