1834164 has 84 divisors (see below), whose sum is σ = 5233284. Its totient is φ = 559872.

The previous prime is 1834159. The next prime is 1834193. The reversal of 1834164 is 4614381.

1834164 = T₄₅₆ + T₄₅₇ + ... + T₄₇₂.

It can be written as a sum of positive squares in 2 ways, for example, as 1542564 + 291600 = 1242^2 + 540^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 49554 + ... + 49590.

It is an arithmetic number, because the mean of its divisors is an integer number (62301).

2^1834164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1834164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616642).

1834164 is an abundant number, since it is smaller than the sum of its proper divisors (3399120).

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

1834164 is a wasteful number, since it uses less digits than its factorization.

1834164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

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

The square root of 1834164 is about 1354.3131100303. The cubic root of 1834164 is about 122.4088228934.

The spelling of 1834164 in words is "one million, eight hundred thirty-four thousand, one hundred sixty-four".