31041000 has 96 divisors (see below), whose sum is σ = 104949000. Its totient is φ = 8275200.

The previous prime is 31040983. The next prime is 31041019. The reversal of 31041000 is 14013.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 29615364 = 1194^2 + 5442^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7276 + ... + 10724.

Almost surely, 2^31041000 is an apocalyptic number.

31041000 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 31041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52474500).

31041000 is an abundant number, since it is smaller than the sum of its proper divisors (73908000).

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

31041000 is a wasteful number, since it uses less digits than its factorization.

31041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31041000 is about 5571.4450549207. The cubic root of 31041000 is about 314.2764952038.

Adding to 31041000 its reverse (14013), we get a palindrome (31055013).

The spelling of 31041000 in words is "thirty-one million, forty-one thousand".