65950641 has 9 divisors (see below), whose sum is σ = 95297241. Its totient is φ = 43950852.

The previous prime is 65950631. The next prime is 65950649. The reversal of 65950641 is 14605956.

The square root of 65950641 is 8121.

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

65950641 is a `hidden beast` number, since 6 + 5 + 9 + 5 + 0 + 641 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 65950641 - 2¹⁷ = 65819569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 65950596 and 65950605.

It is not an unprimeable number, because it can be changed into a prime (65950649) 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, 23010 + ... + 25716.

Almost surely, 2^65950641 is an apocalyptic number.

65950641 is the 8121-st square number.

65950641 is the 4061-st centered octagonal number.

It is an amenable number.

65950641 is a deficient number, since it is larger than the sum of its proper divisors (29346600).

65950641 is an frugal number, since it uses more digits than its factorization.

65950641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 65950641 is about 404.0232337225.

Multiplying 65950641 by its sum of digits (36), we get a square (2374223076 = 48726²).

Multiplying 65950641 by its product of nonzero digits (32400), we get a square (2136800768400 = 1461780²).

The spelling of 65950641 in words is "sixty-five million, nine hundred fifty thousand, six hundred forty-one".