31412000 has 48 divisors (see below), whose sum is σ = 77189112. Its totient is φ = 12563200.

The previous prime is 31411999. The next prime is 31412023. The reversal of 31412000 is 21413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1948816 + 29463184 = 1396^2 + 5428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74 + ... + 7926.

Almost surely, 2^31412000 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 31412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38594556).

31412000 is an abundant number, since it is smaller than the sum of its proper divisors (45777112).

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

31412000 is an equidigital number, since it uses as much as digits as its factorization.

31412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7878 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 31412000 is about 5604.6409340831. The cubic root of 31412000 is about 315.5236105406.

Adding to 31412000 its reverse (21413), we get a palindrome (31433413).

The spelling of 31412000 in words is "thirty-one million, four hundred twelve thousand".