36553842 has 80 divisors (see below), whose sum is σ = 93488472. Its totient is φ = 10575360.

The previous prime is 36553841. The next prime is 36553843. The reversal of 36553842 is 24835563.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36553841) and next prime (36553843).

It can be written as a sum of positive squares in 4 ways, for example, as 31036041 + 5517801 = 5571^2 + 2349^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36553797 and 36553806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36553841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35292 + ... + 36312.

Almost surely, 2^36553842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36553842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46744236).

36553842 is an abundant number, since it is smaller than the sum of its proper divisors (56934630).

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

36553842 is a wasteful number, since it uses less digits than its factorization.

36553842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 36553842 is about 6045.9773403479. The cubic root of 36553842 is about 331.8773982399.

It can be divided in two parts, 36 and 553842, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 36553842 in words is "thirty-six million, five hundred fifty-three thousand, eight hundred forty-two".