4213437921 has 81 divisors (see below), whose sum is σ = 7809635379. Its totient is φ = 2181009600.

The previous prime is 4213437841. The next prime is 4213437931. The reversal of 4213437921 is 1297343124.

It is a happy number.

The square root of 4213437921 is 64911.

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

4213437921 is a `hidden beast` number, since 4 + 213 + 437 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2847396321 + 1366041600 = 53361^2 + 36960^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4213437921 is a prime.

It is a super-2 number, since 2×4213437921² = 35506118228241604482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4213437931) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14994301 + ... + 14994581.

Almost surely, 2^4213437921 is an apocalyptic number.

4213437921 is the 64911-st square number.

4213437921 is the 32456-th centered octagonal number.

It is an amenable number.

4213437921 is a deficient number, since it is larger than the sum of its proper divisors (3596197458).

4213437921 is a wasteful number, since it uses less digits than its factorization.

4213437921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 4213437921 is about 1615.1475384643.

Multiplying 4213437921 by its sum of digits (36), we get a square (151683765156 = 389466²).

The spelling of 4213437921 in words is "four billion, two hundred thirteen million, four hundred thirty-seven thousand, nine hundred twenty-one".