41634164 has 54 divisors (see below), whose sum is σ = 86890230. Its totient is φ = 17434560.

The previous prime is 41634161. The next prime is 41634167. The reversal of 41634164 is 46143614.

41634164 = 467² + 468² + ... + 609².

It is an interprime number because it is at equal distance from previous prime (41634161) and next prime (41634167).

It can be written as a sum of positive squares in 3 ways, for example, as 1210000 + 40424164 = 1100^2 + 6358^2 .

It is a super-2 number, since 2×41634164² = 3466807223957792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41634161) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81542 + ... + 82050.

Almost surely, 2^41634164 is an apocalyptic number.

41634164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41634164 is an abundant number, since it is smaller than the sum of its proper divisors (45256066).

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

41634164 is a wasteful number, since it uses less digits than its factorization.

41634164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 535 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 41634164 is about 6452.4541067721. The cubic root of 41634164 is about 346.5904693642.

Adding to 41634164 its reverse (46143614), we get a palindrome (87777778).

The spelling of 41634164 in words is "forty-one million, six hundred thirty-four thousand, one hundred sixty-four".