361257 has 16 divisors (see below), whose sum is σ = 530880. Its totient is φ = 217152.

The previous prime is 361241. The next prime is 361271. The reversal of 361257 is 752163.

It is not a de Polignac number, because 361257 - 2⁴ = 361241 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361257.

It is not an unprimeable number, because it can be changed into a prime (361217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (33180).

2³⁶¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

361257 is a deficient number, since it is larger than the sum of its proper divisors (169623).

361257 is a wasteful number, since it uses less digits than its factorization.

361257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

The product of its digits is 1260, while the sum is 24.

The square root of 361257 is about 601.0465872127. The cubic root of 361257 is about 71.2205664822.

The spelling of 361257 in words is "three hundred sixty-one thousand, two hundred fifty-seven".