361956 has 48 divisors (see below), whose sum is σ = 1003520. Its totient is φ = 99360.

The previous prime is 361943. The next prime is 361961. The reversal of 361956 is 659163.

It is a happy number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361956.

It is an unprimeable number.

361956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535 + ... + 2673.

2³⁶¹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501760).

361956 is an abundant number, since it is smaller than the sum of its proper divisors (641564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361956 is a wasteful number, since it uses less digits than its factorization.

361956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 361956 is about 601.6277919112. The cubic root of 361956 is about 71.2664720303.

The spelling of 361956 in words is "three hundred sixty-one thousand, nine hundred fifty-six".