21377000 has 32 divisors (see below), whose sum is σ = 50024520. Its totient is φ = 8550400.

The previous prime is 21376991. The next prime is 21377029. The reversal of 21377000 is 77312.

It can be written as a sum of positive squares in 4 ways, for example, as 1999396 + 19377604 = 1414^2 + 4402^2 .

It is a super-2 number, since 2×21377000² = 913952258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9689 + ... + 11688.

Almost surely, 2^21377000 is an apocalyptic number.

21377000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21377000 is an abundant number, since it is smaller than the sum of its proper divisors (28647520).

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

21377000 is a wasteful number, since it uses less digits than its factorization.

21377000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21398 (or 21384 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 21377000 is about 4623.5267923956. The cubic root of 21377000 is about 277.5336106247.

The spelling of 21377000 in words is "twenty-one million, three hundred seventy-seven thousand".