31348801 has 9 divisors (see below), whose sum is σ = 34525603. Its totient is φ = 28442920.

The previous prime is 31348789. The next prime is 31348813. The reversal of 31348801 is 10884313.

The square root of 31348801 is 5599.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (31348789) and next prime (31348813).

It can be written as a sum of positive squares in only one way, i.e., 25492401 + 5856400 = 5049^2 + 2420^2 .

It is not a de Polignac number, because 31348801 - 2⁵ = 31348769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31348801.

It is not an unprimeable number, because it can be changed into a prime (31348861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61335 + ... + 61843.

Almost surely, 2^31348801 is an apocalyptic number.

31348801 is the 5599-th square number.

31348801 is the 2800-th centered octagonal number.

It is an amenable number.

31348801 is a deficient number, since it is larger than the sum of its proper divisors (3176802).

31348801 is an frugal number, since it uses more digits than its factorization.

31348801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 31348801 is about 315.3118638108.

Multiplying 31348801 by its product of nonzero digits (2304), we get a square (72227637504 = 268752²).

It can be divided in two parts, 3134 and 8801, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 31348801 in words is "thirty-one million, three hundred forty-eight thousand, eight hundred one".