1627946121 has 16 divisors (see below), whose sum is σ = 2242150400. Its totient is φ = 1049567760.

The previous prime is 1627946093. The next prime is 1627946167. The reversal of 1627946121 is 1216497261.

It is not a de Polignac number, because 1627946121 - 2⁶ = 1627946057 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1627946121.

It is not an unprimeable number, because it can be changed into a prime (1627944121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152856 + ... + 163158.

It is an arithmetic number, because the mean of its divisors is an integer number (140134400).

Almost surely, 2^1627946121 is an apocalyptic number.

It is an amenable number.

1627946121 is a deficient number, since it is larger than the sum of its proper divisors (614204279).

1627946121 is a wasteful number, since it uses less digits than its factorization.

1627946121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036.

The product of its digits is 36288, while the sum is 39.

The square root of 1627946121 is about 40347.8143274205. The cubic root of 1627946121 is about 1176.3774089179.

The spelling of 1627946121 in words is "one billion, six hundred twenty-seven million, nine hundred forty-six thousand, one hundred twenty-one".