31493952 has 168 divisors, whose sum is σ = 105558336. Its totient is φ = 8792064.

The previous prime is 31493951. The next prime is 31493983. The reversal of 31493952 is 25939413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31493951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294283 + ... + 294389.

Almost surely, 2^31493952 is an apocalyptic number.

31493952 is a gapful number since it is divisible by the number (32) 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 31493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52779168).

31493952 is an abundant number, since it is smaller than the sum of its proper divisors (74064384).

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

31493952 is a wasteful number, since it uses less digits than its factorization.

31493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 31493952 is about 5611.9472556324. The cubic root of 31493952 is about 315.7977662384.

The spelling of 31493952 in words is "thirty-one million, four hundred ninety-three thousand, nine hundred fifty-two".