31350000 has 240 divisors, whose sum is σ = 116242560. Its totient is φ = 7200000.

The previous prime is 31349971. The next prime is 31350017. The reversal of 31350000 is 5313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649991 + ... + 1650009.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^31350000 is an apocalyptic number.

31350000 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 31350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

31350000 is an abundant number, since it is smaller than the sum of its proper divisors (84892560).

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

31350000 is a wasteful number, since it uses less digits than its factorization.

31350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 31350000 is about 5599.1070716678. The cubic root of 31350000 is about 315.3158836786.

Adding to 31350000 its reverse (5313), we get a palindrome (31355313).

The spelling of 31350000 in words is "thirty-one million, three hundred fifty thousand".