2837952 has 84 divisors (see below), whose sum is σ = 8783320. Its totient is φ = 870912.

The previous prime is 2837951. The next prime is 2837953. The reversal of 2837952 is 2597382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2837951) and next prime (2837953).

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

It is a d-powerful number, because it can be written as 2⁵ + 8⁷ + 3¹² + 7² + 9² + 5⁷ + 2¹⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2837951) 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, 7299 + ... + 7677.

2^2837952 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 2837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391660).

2837952 is an abundant number, since it is smaller than the sum of its proper divisors (5945368).

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

2837952 is a wasteful number, since it uses less digits than its factorization.

2837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

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

The square root of 2837952 is about 1684.6222128418. The cubic root of 2837952 is about 141.5799262936.

The spelling of 2837952 in words is "two million, eight hundred thirty-seven thousand, nine hundred fifty-two".