1829952 has 70 divisors (see below), whose sum is σ = 5439918. Its totient is φ = 608256.

The previous prime is 1829923. The next prime is 1829959. The reversal of 1829952 is 2599281.

It can be written as a sum of positive squares in only one way, i.e., 1498176 + 331776 = 1224^2 + 576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829959) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5008 + ... + 5360.

2^1829952 is an apocalyptic number.

1829952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719959).

1829952 is an abundant number, since it is smaller than the sum of its proper divisors (3609966).

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

1829952 is an equidigital number, since it uses as much as digits as its factorization.

1829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 1829952 is about 1352.7571844200. The cubic root of 1829952 is about 122.3150506294.

The spelling of 1829952 in words is "one million, eight hundred twenty-nine thousand, nine hundred fifty-two".