4033962 has 40 divisors (see below), whose sum is σ = 9297156. Its totient is φ = 1306368.

The previous prime is 4033961. The next prime is 4033979. The reversal of 4033962 is 2693304.

It can be written as a sum of positive squares in 2 ways, for example, as 3956121 + 77841 = 1989^2 + 279^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5658 + ... + 6330.

Almost surely, 2^4033962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648578).

4033962 is an abundant number, since it is smaller than the sum of its proper divisors (5263194).

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

4033962 is a wasteful number, since it uses less digits than its factorization.

4033962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 4033962 is about 2008.4725539574. The cubic root of 4033962 is about 159.1881006316.

It can be divided in two parts, 40339 and 62, that added together give a square (40401 = 201²).

The spelling of 4033962 in words is "four million, thirty-three thousand, nine hundred sixty-two".