3967614121 has 3 divisors (see below), whose sum is σ = 3967677111. Its totient is φ = 3967551132.

The previous prime is 3967614097. The next prime is 3967614127. The reversal of 3967614121 is 1214167693.

The square root of 3967614121 is 62989.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1214167693 = 17 ⋅71421629.

It can be written as a sum of positive squares in only one way, i.e., 170589721 + 3797024400 = 13061^2 + 61620^2 .

It is not a de Polignac number, because 3967614121 - 2¹¹ = 3967612073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3967614127) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 31495 + ... + 94483.

It is an arithmetic number, because the mean of its divisors is an integer number (1322559037).

Almost surely, 2^3967614121 is an apocalyptic number.

3967614121 is the 62989-th square number.

3967614121 is the 31495-th centered octagonal number.

It is an amenable number.

3967614121 is a deficient number, since it is larger than the sum of its proper divisors (62990).

3967614121 is an frugal number, since it uses more digits than its factorization.

3967614121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125978 (or 62989 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The cubic root of 3967614121 is about 1583.1053227442.

The spelling of 3967614121 in words is "three billion, nine hundred sixty-seven million, six hundred fourteen thousand, one hundred twenty-one".