842167521 has 12 divisors (see below), whose sum is σ = 1310038548. Its totient is φ = 518256864.

The previous prime is 842167489. The next prime is 842167553. The reversal of 842167521 is 125761248.

It is an interprime number because it is at equal distance from previous prime (842167489) and next prime (842167553).

It can be written as a sum of positive squares in 2 ways, for example, as 530150625 + 312016896 = 23025^2 + 17664^2 .

It is not a de Polignac number, because 842167521 - 2⁵ = 842167489 is a prime.

It is a super-2 number, since 2×842167521² = 1418492266854570882, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (842167561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3598890 + ... + 3599123.

It is an arithmetic number, because the mean of its divisors is an integer number (109169879).

Almost surely, 2^842167521 is an apocalyptic number.

It is an amenable number.

842167521 is a deficient number, since it is larger than the sum of its proper divisors (467871027).

842167521 is a wasteful number, since it uses less digits than its factorization.

842167521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198032 (or 7198029 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 842167521 is about 29020.1226909881. The cubic root of 842167521 is about 944.3496625677.

The spelling of 842167521 in words is "eight hundred forty-two million, one hundred sixty-seven thousand, five hundred twenty-one".