311952 has 40 divisors (see below), whose sum is σ = 826336. Its totient is φ = 101376.

The previous prime is 311951. The next prime is 311957. The reversal of 311952 is 259113.

It is not an unprimeable number, because it can be changed into a prime (311951) 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, 3168 + ... + 3264.

2³¹¹⁹⁵² 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 311952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413168).

311952 is an abundant number, since it is smaller than the sum of its proper divisors (514384).

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

311952 is a wasteful number, since it uses less digits than its factorization.

311952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 270, while the sum is 21.

The square root of 311952 is about 558.5266332056. The cubic root of 311952 is about 67.8207505163.

The spelling of 311952 in words is "three hundred eleven thousand, nine hundred fifty-two".