1973952 has 84 divisors (see below), whose sum is σ = 5943600. Its totient is φ = 625152.

The previous prime is 1973927. The next prime is 1973957. The reversal of 1973952 is 2593791.

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

It is not an unprimeable number, because it can be changed into a prime (1973957) 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, 13174 + ... + 13322.

2^1973952 is an apocalyptic number.

1973952 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 1973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971800).

1973952 is an abundant number, since it is smaller than the sum of its proper divisors (3969648).

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

1973952 is a wasteful number, since it uses less digits than its factorization.

1973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 1973952 is about 1404.9740211121. The cubic root of 1973952 is about 125.4427393370.

It can be divided in two parts, 19739 and 52, that added together give a palindrome (19791).

The spelling of 1973952 in words is "one million, nine hundred seventy-three thousand, nine hundred fifty-two".