840362121 has 15 divisors (see below), whose sum is σ = 1255745623. Its totient is φ = 560067480.

The previous prime is 840362111. The next prime is 840362123. The reversal of 840362121 is 121263048.

The square root of 840362121 is 28989.

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., 648262521 + 192099600 = 25461^2 + 13860^2 .

It is not a de Polignac number, because 840362121 - 2⁷ = 840361993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (840362123) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 259291 + ... + 262511.

Almost surely, 2^840362121 is an apocalyptic number.

840362121 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

840362121 is the 28989-th square number.

840362121 is the 14495-th centered octagonal number.

It is an amenable number.

840362121 is a deficient number, since it is larger than the sum of its proper divisors (415383502).

840362121 is an frugal number, since it uses more digits than its factorization.

840362121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 840362121 is about 943.6743619862.

Multiplying 840362121 by its product of nonzero digits (2304), we get a square (1936194326784 = 1391472²).

The spelling of 840362121 in words is "eight hundred forty million, three hundred sixty-two thousand, one hundred twenty-one".