31401000 has 128 divisors (see below), whose sum is σ = 108950400. Its totient is φ = 8366400.

The previous prime is 31400983. The next prime is 31401011. The reversal of 31401000 is 10413.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26419 + ... + 27581.

It is an arithmetic number, because the mean of its divisors is an integer number (851175).

Almost surely, 2^31401000 is an apocalyptic number.

31401000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54475200).

31401000 is an abundant number, since it is smaller than the sum of its proper divisors (77549400).

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

31401000 is a wasteful number, since it uses less digits than its factorization.

31401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31401000 is about 5603.6595185646. The cubic root of 31401000 is about 315.4867757330.

Adding to 31401000 its reverse (10413), we get a palindrome (31411413).

The spelling of 31401000 in words is "thirty-one million, four hundred one thousand".