361673325 has 72 divisors (see below), whose sum is σ = 711095112. Its totient is φ = 174620160.

The previous prime is 361673269. The next prime is 361673329. The reversal of 361673325 is 523376163.

361673325 is a `hidden beast` number, since 3 + 616 + 7 + 3 + 32 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 148571721 + 213101604 = 12189^2 + 14598^2 .

It is not a de Polignac number, because 361673325 - 2⁷ = 361673197 is a prime.

It is a super-3 number, since 3×361673325³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 361673325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361673329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153859 + ... + 156191.

It is an arithmetic number, because the mean of its divisors is an integer number (9876321).

Almost surely, 2^361673325 is an apocalyptic number.

It is an amenable number.

361673325 is a deficient number, since it is larger than the sum of its proper divisors (349421787).

361673325 is a wasteful number, since it uses less digits than its factorization.

361673325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2407 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 361673325 is about 19017.7108243868. The cubic root of 361673325 is about 712.4791498977.

The spelling of 361673325 in words is "three hundred sixty-one million, six hundred seventy-three thousand, three hundred twenty-five".