311949225 has 120 divisors (see below), whose sum is σ = 673379520. Its totient is φ = 139812480.

The previous prime is 311949217. The next prime is 311949227. The reversal of 311949225 is 522949113.

It is not a de Polignac number, because 311949225 - 2³ = 311949217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311949225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311949227) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 836139 + ... + 836511.

It is an arithmetic number, because the mean of its divisors is an integer number (5611496).

Almost surely, 2^311949225 is an apocalyptic number.

311949225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

311949225 is an abundant number, since it is smaller than the sum of its proper divisors (361430295).

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

311949225 is a wasteful number, since it uses less digits than its factorization.

311949225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 311949225 is about 17662.0843900147. The cubic root of 311949225 is about 678.2054941365.

The spelling of 311949225 in words is "three hundred eleven million, nine hundred forty-nine thousand, two hundred twenty-five".