1541952 has 42 divisors (see below), whose sum is σ = 4421378. Its totient is φ = 513792.

The previous prime is 1541941. The next prime is 1541957. The reversal of 1541952 is 2591451.

It can be written as a sum of positive squares in only one way, i.e., 876096 + 665856 = 936^2 + 816^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1541957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 763 + ... + 1914.

2^1541952 is an apocalyptic number.

1541952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1541952 is an abundant number, since it is smaller than the sum of its proper divisors (2879426).

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

1541952 is a wasteful number, since it uses less digits than its factorization.

1541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2682 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 1541952 is about 1241.7535987465. The cubic root of 1541952 is about 115.5288059933.

The spelling of 1541952 in words is "one million, five hundred forty-one thousand, nine hundred fifty-two".