31419900 has 126 divisors (see below), whose sum is σ = 102462192. Its totient is φ = 8359200.

The previous prime is 31419889. The next prime is 31419907. The reversal of 31419900 is 991413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31419907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72685 + ... + 73115.

It is an arithmetic number, because the mean of its divisors is an integer number (813192).

Almost surely, 2^31419900 is an apocalyptic number.

31419900 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 31419900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51231096).

31419900 is an abundant number, since it is smaller than the sum of its proper divisors (71042292).

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

31419900 is a wasteful number, since it uses less digits than its factorization.

31419900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 31419900 is about 5605.3456628472. The cubic root of 31419900 is about 315.5500593244.

It can be divided in two parts, 3141 and 9900, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 31419900 in words is "thirty-one million, four hundred nineteen thousand, nine hundred".