31005132 has 48 divisors (see below), whose sum is σ = 74156544. Its totient is φ = 10080000.

The previous prime is 31005097. The next prime is 31005133. The reversal of 31005132 is 23150013.

It is a happy number.

It is a super-2 number, since 2×31005132² = 1922636420674848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31005133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128532 + ... + 128772.

It is an arithmetic number, because the mean of its divisors is an integer number (1544928).

Almost surely, 2^31005132 is an apocalyptic number.

It is an amenable number.

31005132 is an abundant number, since it is smaller than the sum of its proper divisors (43151412).

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

31005132 is a wasteful number, since it uses less digits than its factorization.

31005132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 31005132 is about 5568.2252109626. The cubic root of 31005132 is about 314.1553992993.

Adding to 31005132 its reverse (23150013), we get a palindrome (54155145).

It can be divided in two parts, 3100513 and 2, that multiplied together give a palindrome (6201026).

The spelling of 31005132 in words is "thirty-one million, five thousand, one hundred thirty-two".