1955772 has 96 divisors (see below), whose sum is σ = 6272000. Its totient is φ = 513216.

The previous prime is 1955771. The next prime is 1955773. The reversal of 1955772 is 2775591.

It is an interprime number because it is at equal distance from previous prime (1955771) and next prime (1955773).

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 9² + 5³ + 5⁹ + 7² + 7³ + 2¹¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1955771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9729 + ... + 9927.

2^1955772 is an apocalyptic number.

1955772 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 1955772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136000).

1955772 is an abundant number, since it is smaller than the sum of its proper divisors (4316228).

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

1955772 is a wasteful number, since it uses less digits than its factorization.

1955772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 1955772 is about 1398.4891847991. The cubic root of 1955772 is about 125.0564438422.

The spelling of 1955772 in words is "one million, nine hundred fifty-five thousand, seven hundred seventy-two".