152905 has 8 divisors (see below), whose sum is σ = 187272. Its totient is φ = 119808.

The previous prime is 152899. The next prime is 152909. The reversal of 152905 is 509251.

152905 = 276² + 277².

It can be written as a sum of positive squares in 4 ways, for example, as 76729 + 76176 = 277^2 + 276^2 .

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 152905 - 2³ = 152897 is a prime.

It is a Duffinian number.

152905 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (152909) 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, 24 + ... + 553.

It is an arithmetic number, because the mean of its divisors is an integer number (23409).

2¹⁵²⁹⁰⁵ is an apocalyptic number.

152905 is the 277-th centered square number.

It is an amenable number.

152905 is a deficient number, since it is larger than the sum of its proper divisors (34367).

152905 is an equidigital number, since it uses as much as digits as its factorization.

152905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 152905 is about 391.0306893327. The cubic root of 152905 is about 53.4737402791.

The spelling of 152905 in words is "one hundred fifty-two thousand, nine hundred five".