361251 has 24 divisors (see below), whose sum is σ = 589680. Its totient is φ = 211200.

The previous prime is 361241. The next prime is 361271. The reversal of 361251 is 152163.

361251 is a `hidden beast` number, since 3 + 612 + 51 = 666.

It is not a de Polignac number, because 361251 - 2⁵ = 361219 is a prime.

361251 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361251.

It is not an unprimeable number, because it can be changed into a prime (361211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4015 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2³⁶¹²⁵¹ is an apocalyptic number.

361251 is a deficient number, since it is larger than the sum of its proper divisors (228429).

361251 is a wasteful number, since it uses less digits than its factorization.

361251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

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

The square root of 361251 is about 601.0415958983. The cubic root of 361251 is about 71.2201721870.

It can be divided in two parts, 3612 and 51, that added together give a palindrome (3663).

The spelling of 361251 in words is "three hundred sixty-one thousand, two hundred fifty-one".