20005965 has 72 divisors (see below), whose sum is σ = 41472288. Its totient is φ = 8890560.

The previous prime is 20005949. The next prime is 20005981. The reversal of 20005965 is 56950002.

It is an interprime number because it is at equal distance from previous prime (20005949) and next prime (20005981).

It is not a de Polignac number, because 20005965 - 2⁴ = 20005949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94710 + ... + 94920.

It is an arithmetic number, because the mean of its divisors is an integer number (576004).

Almost surely, 2^20005965 is an apocalyptic number.

It is an amenable number.

20005965 is an abundant number, since it is smaller than the sum of its proper divisors (21466323).

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

20005965 is a wasteful number, since it uses less digits than its factorization.

20005965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 20005965 is about 4472.8028125550. The cubic root of 20005965 is about 271.4687448122.

Adding to 20005965 its reverse (56950002), we get a palindrome (76955967).

The spelling of 20005965 in words is "twenty million, five thousand, nine hundred sixty-five".