873954 has 24 divisors (see below), whose sum is σ = 1976832. Its totient is φ = 278520.

The previous prime is 873913. The next prime is 873959. The reversal of 873954 is 459378.

It is a d-powerful number, because it can be written as 8 + 7² + 9⁶ + 3⁷ + 5⁷ + 4⁹ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873954.

It is not an unprimeable number, because it can be changed into a prime (873959) by changing a digit.

873954 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (82368).

2⁸⁷³⁹⁵⁴ is an apocalyptic number.

873954 is an abundant number, since it is smaller than the sum of its proper divisors (1102878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

873954 is a wasteful number, since it uses less digits than its factorization.

873954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2139 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 873954 is about 934.8550689813. The cubic root of 873954 is about 95.6084310649.

It can be divided in two parts, 8739 and 54, that multiplied together give a triangular number (471906 = T₉₇₁).

The spelling of 873954 in words is "eight hundred seventy-three thousand, nine hundred fifty-four".