4124961 has 9 divisors (see below), whose sum is σ = 5967091. Its totient is φ = 2745912.

The previous prime is 4124959. The next prime is 4124971. The reversal of 4124961 is 1694214.

The square root of 4124961 is 2031.

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

It can be written as a sum of positive squares in only one way, i.e., 4100625 + 24336 = 2025^2 + 156^2 .

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

It is not a de Polignac number, because 4124961 - 2¹ = 4124959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4124921) 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, 5755 + ... + 6431.

Almost surely, 2^4124961 is an apocalyptic number.

4124961 is the 2031-st square number.

4124961 is the 1016-th centered octagonal number.

It is an amenable number.

4124961 is a deficient number, since it is larger than the sum of its proper divisors (1842130).

4124961 is an frugal number, since it uses more digits than its factorization.

4124961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The cubic root of 4124961 is about 160.3762110685.

The spelling of 4124961 in words is "four million, one hundred twenty-four thousand, nine hundred sixty-one".