873667 has 2 divisors, whose sum is σ = 873668. Its totient is φ = 873666.

The previous prime is 873659. The next prime is 873671. The reversal of 873667 is 766378.

873667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 873667 - 2³ = 873659 is a prime.

It is not a weakly prime, because it can be changed into another prime (873617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436833 + 436834.

It is an arithmetic number, because the mean of its divisors is an integer number (436834).

2⁸⁷³⁶⁶⁷ is an apocalyptic number.

873667 is a deficient number, since it is larger than the sum of its proper divisors (1).

873667 is an equidigital number, since it uses as much as digits as its factorization.

873667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42336, while the sum is 37.

The square root of 873667 is about 934.7015566479. The cubic root of 873667 is about 95.5979642196.

It can be divided in two parts, 873 and 667, that added together give a triangular number (1540 = T₅₅).

The spelling of 873667 in words is "eight hundred seventy-three thousand, six hundred sixty-seven".