893140293721 has 27 divisors (see below), whose sum is σ = 976002214239. Its totient is φ = 816940970352.

The previous prime is 893140293719. The next prime is 893140293737. The reversal of 893140293721 is 127392041398.

It is a happy number.

The square root of 893140293721 is 945061.

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., 132121345225 + 761018948496 = 363485^2 + 872364^2 .

It is not a de Polignac number, because 893140293721 - 2¹ = 893140293719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (893140293751) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1707724966 + ... + 1707725488.

It is an arithmetic number, because the mean of its divisors is an integer number (36148230157).

Almost surely, 2^893140293721 is an apocalyptic number.

893140293721 is the 945061-st square number.

893140293721 is the 472531-st centered octagonal number.

It is an amenable number.

893140293721 is a deficient number, since it is larger than the sum of its proper divisors (82861920518).

893140293721 is an frugal number, since it uses more digits than its factorization.

893140293721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 893140293721 by its sum of digits (49), we get a square (43763874392329 = 6615427²).

The spelling of 893140293721 in words is "eight hundred ninety-three billion, one hundred forty million, two hundred ninety-three thousand, seven hundred twenty-one".