1953042 has 64 divisors (see below), whose sum is σ = 4972800. Its totient is φ = 508032.

The previous prime is 1953041. The next prime is 1953043. The reversal of 1953042 is 2403591.

It is an interprime number because it is at equal distance from previous prime (1953041) and next prime (1953043).

It is a super-3 number, since 3×1953042³ = 22348892333008050264, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1953041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26718 + ... + 26790.

It is an arithmetic number, because the mean of its divisors is an integer number (77700).

2^1953042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1953042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486400).

1953042 is an abundant number, since it is smaller than the sum of its proper divisors (3019758).

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

1953042 is a wasteful number, since it uses less digits than its factorization.

1953042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1953042 is about 1397.5127906391. The cubic root of 1953042 is about 124.9982293083.

The spelling of 1953042 in words is "one million, nine hundred fifty-three thousand, forty-two".