41971164 has 48 divisors (see below), whose sum is σ = 104203008. Its totient is φ = 13102848.

The previous prime is 41971157. The next prime is 41971169. The reversal of 41971164 is 46117914.

41971164 = 2287² + 2288² + ... + 2294².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41971169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57369 + ... + 58095.

It is an arithmetic number, because the mean of its divisors is an integer number (2170896).

Almost surely, 2^41971164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41971164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101504).

41971164 is an abundant number, since it is smaller than the sum of its proper divisors (62231844).

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

41971164 is a wasteful number, since it uses less digits than its factorization.

41971164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 41971164 is about 6478.5155707153. The cubic root of 41971164 is about 347.5230949232.

The spelling of 41971164 in words is "forty-one million, nine hundred seventy-one thousand, one hundred sixty-four".