31971552 has 48 divisors (see below), whose sum is σ = 86203152. Its totient is φ = 10368000.

The previous prime is 31971551. The next prime is 31971557. The reversal of 31971552 is 25517913.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31971551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 8052.

It is an arithmetic number, because the mean of its divisors is an integer number (1795899).

Almost surely, 2^31971552 is an apocalyptic number.

31971552 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 31971552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43101576).

31971552 is an abundant number, since it is smaller than the sum of its proper divisors (54231600).

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

31971552 is a wasteful number, since it uses less digits than its factorization.

31971552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9043 counting only the distinct ones).

The product of its digits is 9450, while the sum is 33.

The square root of 31971552 is about 5654.3392186886. The cubic root of 31971552 is about 317.3861025318.

It can be divided in two parts, 31971 and 552, that added together give a palindrome (32523).

The spelling of 31971552 in words is "thirty-one million, nine hundred seventy-one thousand, five hundred fifty-two".