35972541 has 12 divisors (see below), whose sum is σ = 56684160. Its totient is φ = 21801480.

The previous prime is 35972513. The next prime is 35972549. The reversal of 35972541 is 14527953.

35972541 is a `hidden beast` number, since 3 + 597 + 25 + 41 = 666.

It is not a de Polignac number, because 35972541 - 2¹⁹ = 35448253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35972496 and 35972505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35972549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181581 + ... + 181778.

It is an arithmetic number, because the mean of its divisors is an integer number (4723680).

Almost surely, 2^35972541 is an apocalyptic number.

It is an amenable number.

35972541 is a deficient number, since it is larger than the sum of its proper divisors (20711619).

35972541 is a wasteful number, since it uses less digits than its factorization.

35972541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363376 (or 363373 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 35972541 is about 5997.7113134928. The cubic root of 35972541 is about 330.1087520354.

Adding to 35972541 its product of digits (37800), we get a triangular number (36010341 = T₈₄₈₆).

It can be divided in two parts, 359 and 72541, that added together give a square (72900 = 270²).

The spelling of 35972541 in words is "thirty-five million, nine hundred seventy-two thousand, five hundred forty-one".