36097950 has 96 divisors (see below), whose sum is σ = 105707520. Its totient is φ = 7977600.

The previous prime is 36097949. The next prime is 36097951. The reversal of 36097950 is 5979063.

It is an interprime number because it is at equal distance from previous prime (36097949) and next prime (36097951).

It is a super-4 number, since 4×36097950⁴ (a number of 31 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36097899 and 36097908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36097951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31996 + ... + 33104.

It is an arithmetic number, because the mean of its divisors is an integer number (1101120).

Almost surely, 2^36097950 is an apocalyptic number.

36097950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36097950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52853760).

36097950 is an abundant number, since it is smaller than the sum of its proper divisors (69609570).

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

36097950 is a wasteful number, since it uses less digits than its factorization.

36097950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 36097950 is about 6008.1569553400. The cubic root of 36097950 is about 330.4919201573.

The spelling of 36097950 in words is "thirty-six million, ninety-seven thousand, nine hundred fifty".